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Finding the Fourth Proportional to 36,082.54, 49,793.76 and 20,166.97

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Solution

The fourth proportional to 36,082.54, 49,793.76 and 20,166.97 is: 27,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,082.54 : 49,793.76 = 20,166.97 : x
  2. Step 2: Convert to fraction form
    36,082.54/49,793.76 = 20,166.97/x
  3. Step 3: Cross multiply
    36,082.54x = 49,793.76 × 20,166.97
  4. Step 4: Simplify right side
    36,082.54x = 1,004,189,264.11
  5. Step 5: Solve for x
    x = 1,004,189,264.11/36,082.54
  6. Step 6: Final answer
    x = 27,830.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.